Lower bound on the four-point dynamical susceptibility: Direct experimental test on a granular packing

Autor: Lechenault, F., Dauchot, O., Biroli, G., Bouchaud, J. P.
Rok vydání: 2007
Předmět:
Zdroj: EPL, 83 (2008) 46002
Druh dokumentu: Working Paper
DOI: 10.1209/0295-5075/83/46002
Popis: We track the motion of a horizontally vibrated amorphous assembly of bidisperse hard disks, for densities ranging across the jamming transition. We derive on very general grounds a bound on the dynamical susceptibility in terms of the response of the dynamics to a change in density. This generalizes a similar bound recently derived for equilibrium liquids. We find that in our experimental system the bound is tight and reproduces the non-monotonic behavior of the dynamical susceptibility both in time and density across the jamming transition. The underlying scaling behavior reveals an intimate connection between anomalous diffusion and dynamical heterogeneity.
Comment: 5 pages, 3 figures
Databáze: arXiv